The correct answer is:
No, because there is a lot of variability in the science book data
The mean absolute deviation for the science book is much higher than for the geometry book, indicating that there is more variability in the number of words on each page in the science book. This variability means that the mean may not accurately represent the typical number of words on a page in the science book compared to the geometry book.
Kelly wants to know if the number of words on a page in her geometry book is generally more than the number of words on a page in her science book. She takes a random sample of 25 pages in each book, then calculates the mean, median, and mean absolute deviation for the 25 samples of each book.
Book Mean Median Mean absolute deviation
Geometry 42.9 40 1.2
Science 48.5 42 9.3
Kelly claims that because the mean number of words on each page in the science book is greater than the mean number of words on each page in the geometry book, the science book has more words per page. Based on the data, is this a valid inference? (5 points)
No, because the mean is larger in the science book
No, because there is a lot of variability in the science book data
Yes, because the mean is larger in the science book
Yes, because there is a lot of variability in the science book data
1 answer